Articles

ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

  • Anna BAHYRYCZ ,
  • Magdalena PISZCZEK
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  • Institute of Mathematics, Pedagogical University, Podchorazych 2, 30-084 Kraków, Poland

Received date: 2014-12-04

  Revised date: 2015-01-08

  Online published: 2016-04-25

Abstract

We prove, using the fixed point approach, some results on hyperstability (in normed spaces) of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces.

Cite this article

Anna BAHYRYCZ , Magdalena PISZCZEK . ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES[J]. Acta mathematica scientia, Series B, 2016 , 36(2) : 593 -601 . DOI: 10.1016/S0252-9602(16)30023-6

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